Re: [Haskell-cafe] Equality test between types that returns type-level Bool ?

2012-11-28 Thread Takayuki Muranushi
By tracing how unittyped produced the 'True-s and 'False-s in the error
messages, and by Oleg's lecture,

 1 meter + 5 second

interactive:17:9:
Couldn't match type 'False with 'True
When using functional dependencies to combine
  UnitTyped.And 'False 'False 'False,
arising from the dependency `a b - c'
in the instance declaration in `UnitTyped'
  UnitTyped.And 'False 'False 'True,
arising from a use of `+' at interactive:17:9
In the expression: 1 meter + 5 second
In an equation for `it': it = 1 meter + 5 second


I understood how type-level equalities
https://github.com/nushio3/dimensional-tf/blob/master/attic/typeeq-01.hs
and type-level list lookups
https://github.com/nushio3/dimensional-tf/blob/master/attic/typeeq-03.hs

can be implemented using overlapped instances. Thank you for the
instructions.

and I'm looking forward to see TYPEREP with ghc7.6.1's promoted integers
and TH pretty soon!


2012/11/27 Takayuki Muranushi muranu...@gmail.com

 Dear Gábor, Erik, and Oleg,

 Thank you for your advices. Also what I have wanted, the extensible
 dimensional type system, has just been released.

 http://hackage.haskell.org/package/unittyped-0.1

 Now I have homeworks to test these, thank you!




 2012/11/27 Erik Hesselink hessel...@gmail.com

 If you're up for it, Oleg has a lot of interesting material about this
 subject [1].

 Regards,

 Erik

 [1] http://okmij.org/ftp/Haskell/typeEQ.html


 On Sun, Nov 25, 2012 at 9:36 AM, Takayuki Muranushi 
 muranu...@gmail.comwrote:

 Is it possible to write

 type family SameType a b :: Bool

 which returns True if a and b are the same type, and False otherwise?

 I encountered this problem when I was practicing promoted lists and
 tuples in ghc-7.6.1. One of my goal for practice is to write more
 modular version of extensible-dimensional calculations, and to
 understand whether ghc-7.6.1 is capable of it.


 http://hackage.haskell.org/packages/archive/dimensional/0.10.2/doc/html/Numeric-Units-Dimensional-Extensible.html

 Some of my attempts:

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-02.hs
 This fails because :==: is not an equality test between a and b, but
 is a equality test within a (promoted) kind.

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-03.hs
 This fails because type instance declarations are not read from top to
 bottom. (not like function declarations.)

 https://github.com/nushio3/dimensional-tf/blob/master/attic/map-03.hs
 I could define a lookup using class constraints, but when I use it,
 results in overlapping instances.

 So, will somebody teach me which of the following is correct?

 * We can write a type family SameType a b :: Bool
 * We cannot do that because of theoretical reason (that leads to
 non-termination etc.)
 * We cannot write SameType, but there are ways to write functions like
 'filter' and 'merge' , over type-level lists, without using SameType.

 Always grateful to your help,
 --
 Takayuki MURANUSHI
 The Hakubi Center for Advanced Research, Kyoto University
 http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html

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 --
 Takayuki MURANUSHI
 The Hakubi Center for Advanced Research, Kyoto University
 http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html




-- 
Takayuki MURANUSHI
The Hakubi Center for Advanced Research, Kyoto University
http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html
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Re: [Haskell-cafe] Equality test between types that returns type-level Bool ?

2012-11-26 Thread Erik Hesselink
If you're up for it, Oleg has a lot of interesting material about this
subject [1].

Regards,

Erik

[1] http://okmij.org/ftp/Haskell/typeEQ.html


On Sun, Nov 25, 2012 at 9:36 AM, Takayuki Muranushi muranu...@gmail.comwrote:

 Is it possible to write

 type family SameType a b :: Bool

 which returns True if a and b are the same type, and False otherwise?

 I encountered this problem when I was practicing promoted lists and
 tuples in ghc-7.6.1. One of my goal for practice is to write more
 modular version of extensible-dimensional calculations, and to
 understand whether ghc-7.6.1 is capable of it.


 http://hackage.haskell.org/packages/archive/dimensional/0.10.2/doc/html/Numeric-Units-Dimensional-Extensible.html

 Some of my attempts:

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-02.hs
 This fails because :==: is not an equality test between a and b, but
 is a equality test within a (promoted) kind.

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-03.hs
 This fails because type instance declarations are not read from top to
 bottom. (not like function declarations.)

 https://github.com/nushio3/dimensional-tf/blob/master/attic/map-03.hs
 I could define a lookup using class constraints, but when I use it,
 results in overlapping instances.

 So, will somebody teach me which of the following is correct?

 * We can write a type family SameType a b :: Bool
 * We cannot do that because of theoretical reason (that leads to
 non-termination etc.)
 * We cannot write SameType, but there are ways to write functions like
 'filter' and 'merge' , over type-level lists, without using SameType.

 Always grateful to your help,
 --
 Takayuki MURANUSHI
 The Hakubi Center for Advanced Research, Kyoto University
 http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html

 ___
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 Haskell-Cafe@haskell.org
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Re: [Haskell-cafe] Equality test between types that returns type-level Bool ?

2012-11-26 Thread Takayuki Muranushi
Dear Gábor, Erik, and Oleg,

Thank you for your advices. Also what I have wanted, the extensible
dimensional type system, has just been released.

http://hackage.haskell.org/package/unittyped-0.1

Now I have homeworks to test these, thank you!



2012/11/27 Erik Hesselink hessel...@gmail.com

 If you're up for it, Oleg has a lot of interesting material about this
 subject [1].

 Regards,

 Erik

 [1] http://okmij.org/ftp/Haskell/typeEQ.html


 On Sun, Nov 25, 2012 at 9:36 AM, Takayuki Muranushi 
 muranu...@gmail.comwrote:

 Is it possible to write

 type family SameType a b :: Bool

 which returns True if a and b are the same type, and False otherwise?

 I encountered this problem when I was practicing promoted lists and
 tuples in ghc-7.6.1. One of my goal for practice is to write more
 modular version of extensible-dimensional calculations, and to
 understand whether ghc-7.6.1 is capable of it.


 http://hackage.haskell.org/packages/archive/dimensional/0.10.2/doc/html/Numeric-Units-Dimensional-Extensible.html

 Some of my attempts:

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-02.hs
 This fails because :==: is not an equality test between a and b, but
 is a equality test within a (promoted) kind.

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-03.hs
 This fails because type instance declarations are not read from top to
 bottom. (not like function declarations.)

 https://github.com/nushio3/dimensional-tf/blob/master/attic/map-03.hs
 I could define a lookup using class constraints, but when I use it,
 results in overlapping instances.

 So, will somebody teach me which of the following is correct?

 * We can write a type family SameType a b :: Bool
 * We cannot do that because of theoretical reason (that leads to
 non-termination etc.)
 * We cannot write SameType, but there are ways to write functions like
 'filter' and 'merge' , over type-level lists, without using SameType.

 Always grateful to your help,
 --
 Takayuki MURANUSHI
 The Hakubi Center for Advanced Research, Kyoto University
 http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html

 ___
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 Haskell-Cafe@haskell.org
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-- 
Takayuki MURANUSHI
The Hakubi Center for Advanced Research, Kyoto University
http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html
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[Haskell-cafe] Equality test between types that returns type-level Bool ?

2012-11-25 Thread Takayuki Muranushi
Is it possible to write

type family SameType a b :: Bool

which returns True if a and b are the same type, and False otherwise?

I encountered this problem when I was practicing promoted lists and
tuples in ghc-7.6.1. One of my goal for practice is to write more
modular version of extensible-dimensional calculations, and to
understand whether ghc-7.6.1 is capable of it.

http://hackage.haskell.org/packages/archive/dimensional/0.10.2/doc/html/Numeric-Units-Dimensional-Extensible.html

Some of my attempts:

https://github.com/nushio3/dimensional-tf/blob/master/attic/list-02.hs
This fails because :==: is not an equality test between a and b, but
is a equality test within a (promoted) kind.

https://github.com/nushio3/dimensional-tf/blob/master/attic/list-03.hs
This fails because type instance declarations are not read from top to
bottom. (not like function declarations.)

https://github.com/nushio3/dimensional-tf/blob/master/attic/map-03.hs
I could define a lookup using class constraints, but when I use it,
results in overlapping instances.

So, will somebody teach me which of the following is correct?

* We can write a type family SameType a b :: Bool
* We cannot do that because of theoretical reason (that leads to
non-termination etc.)
* We cannot write SameType, but there are ways to write functions like
'filter' and 'merge' , over type-level lists, without using SameType.

Always grateful to your help,
--
Takayuki MURANUSHI
The Hakubi Center for Advanced Research, Kyoto University
http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html

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Re: [Haskell-cafe] Equality test between types that returns type-level Bool ?

2012-11-25 Thread Gábor Lehel
On Sun, Nov 25, 2012 at 9:36 AM, Takayuki Muranushi muranu...@gmail.com wrote:
 Is it possible to write

 type family SameType a b :: Bool

 which returns True if a and b are the same type, and False otherwise?

 I encountered this problem when I was practicing promoted lists and
 tuples in ghc-7.6.1. One of my goal for practice is to write more
 modular version of extensible-dimensional calculations, and to
 understand whether ghc-7.6.1 is capable of it.

 http://hackage.haskell.org/packages/archive/dimensional/0.10.2/doc/html/Numeric-Units-Dimensional-Extensible.html

 Some of my attempts:

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-02.hs
 This fails because :==: is not an equality test between a and b, but
 is a equality test within a (promoted) kind.

 https://github.com/nushio3/dimensional-tf/blob/master/attic/list-03.hs
 This fails because type instance declarations are not read from top to
 bottom. (not like function declarations.)

 https://github.com/nushio3/dimensional-tf/blob/master/attic/map-03.hs
 I could define a lookup using class constraints, but when I use it,
 results in overlapping instances.

 So, will somebody teach me which of the following is correct?

 * We can write a type family SameType a b :: Bool
 * We cannot do that because of theoretical reason (that leads to
 non-termination etc.)

This is correct. It's not currently possible to have overlapping type
family instances without breaking the soundness of the type system.
There's some work on changing it:
http://hackage.haskell.org/trac/ghc/wiki/NewAxioms

 * We cannot write SameType, but there are ways to write functions like
 'filter' and 'merge' , over type-level lists, without using SameType.

Not easily that I know of. There's no way to write a general else,
otherwise, if not, etc. case. You have to explicitly enumerate
every type you want to use it with. It _is_ possible with type classes
and OverlappingInstances, but beyond the trivial cases it tends to
make my head hurt (and there's no way to get a result out of a type
class computation and into a type family).


 Always grateful to your help,
 --
 Takayuki MURANUSHI
 The Hakubi Center for Advanced Research, Kyoto University
 http://www.hakubi.kyoto-u.ac.jp/02_mem/h22/muranushi.html

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-- 
Your ship was destroyed in a monadic eruption.

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